Question
Find the prime factorization of number 783225.
Answer
The prime factorization of 783225 is:
$$ 783225 = 3\cdot3\cdot5\cdot5\cdot59\cdot59 $$Which is the same as :
$$ 783225 = 3^{2}\cdot5^{2}\cdot59^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 783225 can be written as 5 × 156645. |
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| 156645 can be written as 5 × 31329. |
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| 31329 can be written as 3 × 10443. |
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| 10443 can be written as 3 × 3481. |
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| 3481 can be written as 59 × 59. |
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| The end nodes are the prime factors of the number 783225. |
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